scholarly journals Anisotropic constitutive model of plasticity capable of accounting for details of meso-structure of two-phase composite material

2012 ◽  
Vol 90-91 ◽  
pp. 153-162 ◽  
Author(s):  
N. Benkemoun ◽  
A. Ibrahimbegovic ◽  
J.-B. Colliat
Keyword(s):  
Composite Material ◽  
Constitutive Model ◽  
Two Phase ◽  
Anisotropic Constitutive Model

scholarly journals Simulation of a two-phase composite material with a system of fibers disoriented in space

2020 ◽  
Author(s):  
E. M. Romanovskaia ◽  
E. A. Mityushov ◽  
S. A. Berestova ◽  
N. D. Romanovskaia
Keyword(s):  
Composite Material ◽  
Two Phase

scholarly journals A note on the volumetric-deviatoric split on the anisotropic constitutive model for fiber-reinforced materials

2019 ◽  
Vol 1 (2) ◽  
pp. 16-24 ◽  
Author(s):  
Tao Jin ◽  
Ilinca Stanciulescu
Keyword(s):  
Constitutive Model ◽  
Strain Energy ◽  
Volume Growth ◽  
Total Strain Energy ◽  
Physical Volume ◽  
Fiber Reinforced Materials ◽  
Anisotropic Fiber ◽  
Material Sample ◽  
Anisotropic Constitutive Model

In the literature, it has been suggested that for a class of anisotropic constitutive laws for fiberreinforced materials, the volumetric-deviatoric split should only be performed on the isotropic (matrix) term, but not on the anisotropic (fiber) term. In this research note, we follow up on the theoretical and numerical analyses adopted in these early publications with an intuitive example that allows us to directly analyze the effect of this split. We demonstrate that performing such split on the anisotropic term leads to non-physical volume growth of the material sample. Therefore, we consolidate the observation that the volumetric-deviatoric split should not be applied to the anisotropic (fiber) term of the total strain energy.

scholarly journals Anisotropic Constitutive Model of Intermittent Columnar Jointed Rock Masses Based on the Cosserat Theory

Symmetry ◽  
2020 ◽  
Vol 12 (5) ◽  
pp. 823 ◽  
Author(s):  
Wenbin Lu ◽  
Zhende Zhu ◽  
Xiangcheng Que ◽  
Cong Zhang ◽  
Yanxin He
Keyword(s):  
Rock Mass ◽  
Constitutive Model ◽  
Jointed Rock ◽  
Jointed Rock Mass ◽  
Rock Masses ◽  
Cosserat Theory ◽  
Tunnel Excavation ◽  
Jointed Rock Masses ◽  
Columnar Jointed Rock Mass ◽  
Anisotropic Constitutive Model

In this work, an anisotropic constitutive model of hexagonal columnar jointed rock masses is established to describe the distribution law of deformation and the failure of columnar joint caverns under anisotropic conditions, and is implemented to study the columnar jointed rock mass at the dam site of the Baihetan Hydropower Station on the Jinsha River. The model is based on the Cosserat theory and considers the mesoscopic bending effect on the macroscopic mean. The influences of joint plane inclination on equivalent anisotropic elastic parameters are discussed via the introduction of an off-axis transformation matrix and the analysis of an example. It is also pointed out that the six-prism columnar jointed rock mass changes from transverse isotropy to anisotropy under the influence of the angle. A numerical calculation program of the Cosserat constitutive model is developed and is applied to the simulation calculation of a Baihetan diversion tunnel to compare and analyze the respective plastic zones and stress distributions after tunnel excavation under both isotropic and anisotropic conditions. The results reveal that, compared with the isotropic model, the proposed Cosserat anisotropic model better reflects the state of stress and asymmetric distribution of the plastic zone after tunnel excavation, and the actual deformation of the surrounding rock of the tunnel is greater than that calculated by the isotropic method. The results aid in a better understanding of the mechanical properties of rock masses.

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